Show that both x(t)=et cos (t) and x2(t)=et sin (t) are solutions to the second order...

 

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Show that both x₁(t)=et cos (t) and x2(t)=et sin (t) are solutions to the second order differential equation x" + 2x' +2x = 0 Show that x(t) = Aet sin (t) + Bet cos (t) is a solution for any values of the constants A and B. Show that both x₁(t)=et cos (t) and x2(t)=et sin (t) are solutions to the second order differential equation x" + 2x' +2x = 0 Show that x(t) = Aet sin (t) + Bet cos (t) is a solution for any values of the constants A and B.

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1 To show that xtet cos t and x2tet sin t are solutions to the second order differential equation x ... View the full answer